Question.
Judge the equivalent resistance when the following are connected in parallel
(a) $1 \Omega$ and $10^{6} \Omega$
(b) $1 \Omega, 10^{3} \Omega$ and $10^{6} \Omega$.
Judge the equivalent resistance when the following are connected in parallel
(a) $1 \Omega$ and $10^{6} \Omega$
(b) $1 \Omega, 10^{3} \Omega$ and $10^{6} \Omega$.
solution:
(a) Approx. $1 \Omega$ (slightly less than $1 \Omega$ ) as other one $\left(10^{6} \Omega\right)$ is very large as compared to $1 \Omega$. In parallel combination of resistors, the equivalent resistance is lesser than the least resistance (in this case, $1 \Omega$ ).
(b)Again, resistance is approx. $1 \Omega$ (slightly less than $1 \Omega$ ).
(a) Approx. $1 \Omega$ (slightly less than $1 \Omega$ ) as other one $\left(10^{6} \Omega\right)$ is very large as compared to $1 \Omega$. In parallel combination of resistors, the equivalent resistance is lesser than the least resistance (in this case, $1 \Omega$ ).
(b)Again, resistance is approx. $1 \Omega$ (slightly less than $1 \Omega$ ).